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Finding the Third Proportional to 401,166.56 and 874,301.06

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Solution

The third proportional to 401,166.56 and 874,301.06 is: 1,905,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,166.56 : 874,301.06 = 874,301.06 : x
  2. Step 2: Convert to fraction form
    401,166.56/874,301.06 = 874,301.06/x
  3. Step 3: Cross multiply
    401,166.56x = 874,301.06 × 874,301.06
  4. Step 4: Simplify right side
    401,166.56x = 764,402,347,888.63
  5. Step 5: Solve for x
    x = 764,402,347,888.63/401,166.56
  6. Step 6: Final answer
    x = 1,905,448.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.